Graphs
Tables
Equations
Distance & Time
Mystery
100
Is this graph a function? Why or why not?
YES! Because it passes the vertical line test.
100
Find the slope of the table below.
1.5
100
In the equation, y= 6/4x - 3 , what is the slope & y-intercept?
slope (m)= 6/4, y-intercept (b)= -3
100
Which line displayed is non-linear, passing through time that starts quick & then decreases in speed.
Line E
100
Which of the following represents a non-linear equation?
A. y= 3x + 3
B. y= -3x
C. y= 1/3x + 3
D. y = 3/x
D
200
Describe the characteristics of the graph below by using words such as linear, non-linear, function or not a function.
Non-Linear, Not a Function
200
Does the table below represent a linear or non-linear relationship? Why or why not?
Non-linear because it does not have a constant rate of change throughout.
200
Write an equation in slope-intercept form from these two points: (2,7) and (0,–7)
y= -7x -7
200
Choose the statement that is correct below.
A. Runner B is running inconsistently, slowing down as time passes.
B. Runner A finishes the race first.
C. Runner B runs the shortest distance.
D. Runner A finishes the race last.
D. Runner A finishes the race last.
200
Which of the following representations are a function?
B. I & II only
300
The graph below shows the number of homework problems Amanda has remaining based on the number of minutes she has been working. Which of the following statements is not true?
A. Amanda started with 30 homework questions.; B. Amanda finishes 2 homework questions every 3 minutes.; C. Amanda finishes 3 homework questions every 2 minutes.; D. After 10 minutes, Amanda has finished half of her homework.
B
300
Choose the equation that matches the table below.
A. y= 1.3x + 10
B. y= x + 10
C. y= 3.3x + 10
D. y = 1.3x
A. y= 1.3x + 10
300
Write an equation in point-slope form when the slope is 9 and passes through the point (-3, 5).
y-5= 9(x+3)
300
Draw a time & distance graph that represents the story below. Label the y-axis as "amount of coffee" and the x-axis as "time"
In the morning, Kinsley makes a pot of coffee. The pot fills quickly at a constant rate until just before the machine is finished, when the flow slows and then stops. After a moment, Kinsley pours a mug of coffee for herself.
300
An online music streaming company, iTunez, charges Alex $8.99 each month for unlimited downloads. Another Company, Beatz On Demand, charges him a one-time fee plus a charge as shown in the table. Which company charges the smallest monthly rate?
Beatz on Demand, they are only charging $5.99 a month.
400
Write an equation in slope-intercept form to represent the line below.
y= -1/2x + 16
400
Which of the following has the greatest rate of change?
The equation has the greatest rate of change. The table's rate of change is 0.78 compared to the equation's of 1.14. y= 8/7x + 5
400
Convert the standard form equation 8x + 2y=16 to slope-intercept form.
y= -4x + 8
400
Use vocabulary words to explain each section of the time graph above. Linear, non-linear, increase, decrease, stop/break.
Section A: linear increase; Section B: stop/break, Section C: linear increase (steeper than A), Section D: linear decrease
400
List the domain & range values from the function.
(1, -2) (-3, 7) (6,8) (5, 0)
Domain (x): -3, 1, 5, 6
Range (y): -2, 0, 7, 8
500
Write the equation for the line below.
x=2
500
A local boutique sells water bottles for a set price, plus an additional fee for each letter that the customers would like to have engraved on the water bottle. The price for up to 4 engraved letters are listed on the table below. What is the slope and what does it represent? What is the y-intercept and what does it represent?
The slope is $0.35 representing the cost of each letter engraved on the water bottle. The y-intercept is 18.99 representing the cost of the water bottle.
500
Write an equation in point-slope form.
(3, -10) (10, -38)
y+10 = -4(x-3) or y+38 = -4(x-10)
500
Create a real-world scenario about a biker that would match the time and distance graph below. Use Part A, B, C, D & E to distinguish the parts of your story.
Part A would represent a quick biking speed that slowly decreases. Part B would represent the biker turning around to the starting point. Part C, bikes at a constant rate. Part D, biker takes a break. Part E, the biker sprints at a constant rate back to where they started.
500
Draw a mapping diagram of a non-function.
Anything that has two or more arrows coming from the same input (x) value.